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Production of stable multidimensional solitary waves is a grand challenge in modern science. Steering their propagation is an even harder problem. In this work we demonstrate three-dimensional solitary waves in a nematic, trajectories of…

We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

斑图形成与孤子 · 物理学 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

We study an intense-short pulse propagation in a saturable cubic-quintic nonlinear media in the presence of nonlinear dispersion within the framework of an extended variational approach. We derive an effective equation for the pulse width…

原子物理 · 物理学 2021-10-14 Sudipta Das , Kajal Krishna Dey , Golam Ali Sekh

We address the properties of fully three-dimensional solitons in complex parity-time (PT)-symmetric periodic lattices with focusing Kerr nonlinearity, and uncover that such lattices can stabilize both, fundamental and vortex-carrying…

光学 · 物理学 2016-10-18 Yaroslav V. Kartashov , Chao Hang , Guoxiang Huang , Lluis Torner

We investigate the three-dimensional structure of the pulsar magnetosphere through time-dependent numerical simulations of a magnetic dipole that is set in rotation. We developed our own Eulerian finite difference time domain numerical…

天体物理学 · 物理学 2009-11-13 Constantinos Kalapotharakos , Ioannis Contopoulos

By methods of numerical simulations the dynamics of interaction of radially symmetric Bellavin-Polyakov type topological vortex in (2+1)-dimensional O(3) nonlinear sigma model is investigated. Obtained numerically the model of topological…

斑图形成与孤子 · 物理学 2016-02-16 F. Sh. Shokirov

The orientation and stability of the reconnection x-line in asymmetric geometry is studied using three-dimensional (3D) particle-in-cell simulations. We initiate reconnection at the center of a large simulation domain to minimize the…

空间物理 · 物理学 2018-08-08 Yi-Hsin Liu , Michael Hesse , Tak Chu Li , Masha Kuznetsova , Ari Le

Dynamics of solitons is considered in an extended nonlinear Schr\"odinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) and inhomogeneity…

斑图形成与孤子 · 物理学 2016-03-01 A. V. Aseeva , L. G. Blyakhman , E. M. Gromov , V. V. Tyutin

In time-reversal invariant electronic systems the scattering matrix is anti-symmetric. This property enables an effect, designated here as "scattering anomaly", such that the electron transport does not suffer from back reflections,…

光学 · 物理学 2017-03-03 Mario G. Silveirinha

We develop a complete mathematical theory for the symmetrical solutions of the generalized nonlinear Schr\"odinger equation based on the new concept of angular pseudomomentum. We consider the symmetric solitons of a generalized nonlinear…

斑图形成与孤子 · 物理学 2011-05-13 M. -Á. García-March , A. Ferrando , M. Zacarés , J. Vijande , L. D. Carr

Scattering of nonstationary electromagnetic fields from axially symmetrical bodies is numerically investigated. Simulations are performed using the time- and frequency-domain approaches. Computational results obtained for a finite perfectly…

数学物理 · 物理学 2007-05-23 I. G. Efimova

The nonlinear propagation of optical pulses in dielectric waveguides and resonators provides a laboratory to investigate a wide range of remarkable interactions. Many of the resulting phenomena find applications in optical systems. One…

光学 · 物理学 2016-06-06 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse…

Realization of non-reciprocal devices, such as isolators and circulators, is of fundamental importance in microwave and photonic communication systems. This can be achieved by breaking time-reversal symmetry in the system or exploiting…

应用物理 · 物理学 2019-05-01 Junfei Li , Chen Shen , Yangbo Xie , Steven A. Cummer

We prove the possibility of achieving non-reciprocal wave propagation in space-time modulated media and give an asymptotic analysis of the non-reciprocity property in terms of the amplitude of the time-modulation. Such modulation causes a…

偏微分方程分析 · 数学 2021-09-16 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen

A medium with specific anisotropic refractive indices can induce a supersymmetric behavior in the propagation of polarized electromagnetic waves, in an analogue fashion to a quantum mechanical system. The polarizations of the wave are the…

The experimental demonstration and characterization is made of the plasmon-mediated resonant transmission through an embedded undulated continuous thin metal film under normal incidence. 1D undulations are shown to enable a spatially…

We study two-component spatial optical solitons carrying an angular momentum and propagating in a self-focusing saturable nonlinear medium. When one of the components is small, such vector solitons can be viewed as a self-trapped vortex…

斑图形成与孤子 · 物理学 2009-11-10 Jose R. Salgueiro , Yuri S. Kivshar

In this article, we present an efficient numerical model able to solve the vectorial nonlinear pulse propagation equation in circularly symmetric multimode waveguides. The algorithm takes advantage of the conservation of total angular…

光学 · 物理学 2024-02-27 Pierre Béjot

Dynamics of interaction of topological solitons (vortices) in (2+1)-dimensional O(3) nonlinear sigma model in anisotropic case are investigated. By numerical simulation methods is shown that the changes of rotation frequency of isotopic…

斑图形成与孤子 · 物理学 2016-02-18 F. Sh. Shokirov